The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of A) malt only B) wheat only C) both malt and wheat D) neither malt nor wheat Write the formulation for this linear program And Explain

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Business

Mays

5 May, 09:54

The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of A) malt only B) wheat only C) both malt and wheat D) neither malt nor wheat Write the formulation for this linear program And Explain

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Answers (1)

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Kaiya Davidson · Answer 1

The answer is: A) malt only

Explanation:

If the manager decides to produce 400 bottles of dark beer, he will need 3,200 oz of malt and 3,200 oz of wheat. Since he can obtain 4,800 oz of malt and 3,200 o of wheat per week, at the end of the week he will have 1,600 oz of malt left in inventory (4,800 - 3,200).